S. 6 Write an equivalent ratio Find the number that makes the ratio equivalent to $$ 45: 27 $$. $$ \square $$ - 3 Submit

Question

UpStudy AI · Accepted Answer

We are given that the ratio □ : 3 must be equivalent to the ratio 45 : 27. To find the missing number, call it x, set up the proportion:

x/3 = 45/27

Start by simplifying the fraction on the right. Since 45 and 27 are both divisible by 9:

45 ÷ 9 = 5  and  27 ÷ 9 = 3

So, 45/27 simplifies to 5/3.

Now, our proportion becomes:

x/3 = 5/3

Since the denominators are the same, the numerators must be equal. Therefore:

x = 5

Thus, the number that makes the ratio equivalent is 5.
The number that makes the ratio equivalent is 5.

S. 6 Write an equivalent ratio Find the number that makes the ratio equivalent to \( 45: 27 \). \( \square \) - 3 Submit